SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY HYPERGEOMETRIC FUNCTIONS

ORHAN, Halit; ÇAĞLAR, MURAT; ARIKAN, Hava

doi:10.1007/s13370-023-01063-7

SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY HYPERGEOMETRIC FUNCTIONS

ORHAN H., ÇAĞLAR M., ARIKAN H.

Afrika Matematika, cilt.34, sa.18, 2023 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 34 Sayı: 18
Basım Tarihi: 2023
Doi Numarası: 10.1007/s13370-023-01063-7
Dergi Adı: Afrika Matematika
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Anahtar Kelimeler: Analytic functions, Univalent functions, Hypergeometric functions, Fekete-Szego problem, Hankel determinant
Atatürk Üniversitesi Adresli: Evet

Özet

In the present paper, we obtain the upper bounds for the second Hankel determinant and Fekete-Szego inequalities for a new subclass of analytic functions in the open unit disk defined by the hypergeometric functions. Moreover, several interesting applications of the results presented here are also discussed.